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Finding the Third Proportional to 190,269 and 405,870.75

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Solution

The third proportional to 190,269 and 405,870.75 is: 865,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,269 : 405,870.75 = 405,870.75 : x
  2. Step 2: Convert to fraction form
    190,269/405,870.75 = 405,870.75/x
  3. Step 3: Cross multiply
    190,269x = 405,870.75 × 405,870.75
  4. Step 4: Simplify right side
    190,269x = 164,731,065,705.56
  5. Step 5: Solve for x
    x = 164,731,065,705.56/190,269
  6. Step 6: Final answer
    x = 865,779.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.